CAT(0)空间中的halpern型近点算法

Pub Date : 2023-07-16 DOI:10.12775/tmna.2022.038

C. C. Okeke

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引用次数: 0

摘要

本文介绍了一种将Halpern法和近点法相结合的方法。证明了在适当的条件下，我们方法生成的迭代序列强收敛于CAT$（0）$空间中某些单调包含问题和不动点问题的一个公共解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Halpern-type proximal point algorithm in CAT(0) spaces

A method which is a combination of the Halpern method and proximal point method (PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly to a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.

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